CliffsNotes Praxis II: Middle School Mathematics Test (0069) Test Prep

CliffsNotes Praxis II®: Middle School Mathematics Test (0069) Test Prep......Page 4
Table of Contents......Page 8
Allocation of the Test Content......Page 12
Scoring of the Test......Page 13
The Role of the Praxis Middle School Mathematics Test in Teacher Certification/Licensure......Page 14
Questions Commonly Asked About the Praxis Middle School Mathematics Test......Page 15
Book......Page 16
How to Prepare for the Day of the Test......Page 17
Test Taking Strategies for the Praxis Middle School Mathematics Test......Page 18
Graphing Calculators and the Praxis Middle School Mathematics Test......Page 19
TOPIC AREA REVIEWS......Page 20
Arithmetic Operations......Page 22
Counting Numbers......Page 23
Fractions......Page 25
Decimals......Page 27
Percents......Page 28
Real Numbers......Page 30
Absolute Value......Page 31
Comparing and Ordering Real Numbers......Page 32
Operations with Signed Numbers......Page 33
Exponentiation of Signed Numbers......Page 36
The Order of Operations......Page 37
Properties of Number Systems......Page 39
Scientific Notation......Page 40
Complex Numbers......Page 41
Sample Exercises......Page 43
Answer Explanations for Sample Exercises......Page 44
Performing Operations with Polynomials......Page 46
Rational Expressions......Page 50
Solving One-Variable Linear Equations......Page 52
Solving One-Variable Inequalities......Page 53
Solving One-Variable Absolute Value Equations and Inequalities......Page 54
Solving Quadratic Equations......Page 55
Systems of Equations and Inequalities......Page 58
Sample Exercises......Page 61
Answer Explanations for Sample Exercises......Page 62
General Relationships Involving Geometric Figures......Page 64
Lines and Angles......Page 66
Properties of Polygons......Page 69
Properties of Quadrilaterals......Page 70
Properties of Triangles......Page 71
The Pythagorean Theorem......Page 74
Properties of Circles......Page 75
Geometric Transformations......Page 77
Formulas Used in Two-and Three-Dimensional Coordinate Systems......Page 79
Sample Exercises......Page 80
Answer Explanations for Sample Exercises......Page 82
Precision, Accuracy, and Approximate Error......Page 84
Perimeter, Area, and Volume......Page 86
Sample Exercises......Page 94
Answer Explanations for Sample Exercises......Page 95
Properties of Functions......Page 96
Linear Functions......Page 101
Quadratic Functions......Page 104
Rational Functions......Page 106
Absolute Value Functions......Page 108
Step Functions......Page 109
Exponential and Logarithm Functions......Page 111
Transformations......Page 112
Equations of Lines......Page 114
Graphs of Linear Inequality Relations......Page 115
Graphs of Conic Relations......Page 117
Sample Exercises......Page 121
Answer Explanations for Sample Exercises......Page 123
Sample Spaces and Probability Distributions......Page 124
Conditional Probability and Independent and Dependent Events......Page 126
Sample Exercises......Page 131
Answer Explanations for Sample Exercises......Page 132
Organizing Data......Page 134
Measures of Central Tendency......Page 139
Measures of Dispersions......Page 140
Additional Descriptive Measures......Page 141
Sample Exercises......Page 143
Answer Explanations for Sample Exercises......Page 145
Basic Set Operations and Venn Diagrams......Page 146
Basic Concepts of Logic......Page 148
Statements Associated with a Conditional Statement......Page 149
Quantifiers and Negation......Page 150
Counting Techniques......Page 152
Pascal’s Triangle and......Page 154
Sequences......Page 155
Graph Terminology......Page 157
Euler and Hamiltonian Paths......Page 158
Sample Exercises......Page 160
Answer Explanations for Sample Exercises......Page 162
Achieving a Maximum Score on the Constructed Responses......Page 164
Organizing Problem Solving......Page 165
Sample Problem-Solving Exercises......Page 168
Sample Correct Constructed Responses for the Sample Problem-Solving Exercises......Page 169
Answer Sheet for Practice Test 1......Page 174
PRACTICE TESTS......Page 172
Part A......Page 176
Part B......Page 182
Middle School Mathematics (0069) Practice Test 1 Answer Key......Page 187
Answer Explanations for the Multiple-Choice Section......Page 188
Part B: Solutions to the Short Constructed-Response Section......Page 194
Scoring Your Practice Test......Page 197
Answer Sheet for Practice Test 2......Page 198
Part A......Page 200
Part B......Page 207
Middle School Mathematics (0069) Practice Test 2 Answer Key......Page 212
Answer Explanations for the Multiple-Choice Section......Page 213
Part B: Solutions to the Short Constructed-Response Section......Page 222
Scoring Your Practice Test......Page 224
Answer Sheet for Practice Test 3......Page 226
Part A......Page 228
Part B......Page 235
Middle School Mathematics (0069) Practice Test 3 Answer Key......Page 240
Answer Explanations for the Multiple-Choice Section......Page 241
Part B: Solutions to the Short Constructed-Response Section......Page 249
Scoring Your Practice Test......Page 251
Simplifying Radicals......Page 252
Synthetic Division......Page 254
Measurement Units and Conversions......Page 256
Common Formulas......Page 260